The generator matrix

 1  0  0  1  1  1  2  0  1  1  2  0  1  1  X X+2  1  0  1  1  1  2  1  1  1  X  0  X  1  0  X  1  2  0 X+2  X  1  X  1  1  X  1  1  X  1  2  X  X  1  0  2
 0  1  0  0  3  3  1 X+2  2  1  1  1  2  1  X  2  2  1  3  1  0  1  2  0 X+3 X+2 X+2  1  3  1  0  1  1  X  X  2 X+1  1 X+2  X  1  X X+1  0 X+2  X  X  1 X+3 X+2  X
 0  0  1 X+1 X+3  2 X+3  1  X  3  1  X  1 X+2  1  1 X+3  2  1  0 X+2  1  2  3 X+2  1  1 X+2  X X+2  1 X+1 X+3  1  1  1  3 X+3  2 X+3  1  1 X+3  2 X+2  X  0  2  0  1  1
 0  0  0  2  2  0  2  2  2  0  0  2  0  2  0  2  0  2  2  2  0  2  2  2  2  2  0  2  0  0  0  0  0  0  2  2  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+386x^48+152x^50+316x^52+32x^54+80x^56+8x^58+36x^60+13x^64

The gray image is a code over GF(2) with n=204, k=10 and d=96.
This code was found by Heurico 1.16 in 99.1 seconds.